405087080 has 64 divisors (see below), whose sum is σ = 950130000. Its totient is φ = 155244544.

The previous prime is 405087079. The next prime is 405087113. The reversal of 405087080 is 80780504.

It can be written as a sum of positive squares in 8 ways, for example, as 295633636 + 109453444 = 17194^2 + 10462^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157646 + ... + 160194.

Almost surely, 2^405087080 is an apocalyptic number.

405087080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405087080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475065000).

405087080 is an abundant number, since it is smaller than the sum of its proper divisors (545042920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405087080 is a wasteful number, since it uses less digits than its factorization.

405087080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 405087080 is about 20126.7752012090. The cubic root of 405087080 is about 739.9166451034.

The spelling of 405087080 in words is "four hundred five million, eighty-seven thousand, eighty".